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Finding the Fourth Proportional to 336.67, 464.56 and 189.27

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Solution

The fourth proportional to 336.67, 464.56 and 189.27 is: 261.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.67 : 464.56 = 189.27 : x
  2. Step 2: Convert to fraction form
    336.67/464.56 = 189.27/x
  3. Step 3: Cross multiply
    336.67x = 464.56 × 189.27
  4. Step 4: Simplify right side
    336.67x = 87,926.80
  5. Step 5: Solve for x
    x = 87,926.80/336.67
  6. Step 6: Final answer
    x = 261.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.